⇒ (a + b + x)x = –ab⇒ ax + bx + x2 = –ab⇒ x2 + ax + bx + ab = 0⇒ x(x + a) + b(x + a) = 0⇒ (x + a)(x + b) = 0⇒ x = –a or x = –b

Q. 114.5( 66 Votes )

Solve</span

Answer :

⇒ (a + b + x)x = –ab

⇒ ax + bx + x² = –ab

⇒ x² + ax + bx + ab = 0
⇒ x(x + a) + b(x + a) = 0

⇒ (x + a)(x + b) = 0

⇒ x = –a or x = –b

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